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4212024030100 = 2252376719985381
BaseRepresentation
bin111101010010110000001…
…100100011001110010100
3112220122222012022101212201
4331102300030203032110
51023002211122430400
612542551020454244
7613210611346345
oct75226014431624
915818865271781
104212024030100
111384344837627
1258039a3aa384
13247266244003
14107c122d60cc
157486ed4a06a
hex3d4b0323394

4212024030100 has 144 divisors (see below), whose sum is σ = 9575215619200. Its totient is φ = 1606674009600.

The previous prime is 4212024030047. The next prime is 4212024030101. The reversal of 4212024030100 is 10304202124.

It is a super-2 number, since 2×42120240301002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212024030101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49289410 + ... + 49374790.

Almost surely, 24212024030100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212024030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787607809600).

4212024030100 is an abundant number, since it is smaller than the sum of its proper divisors (5363191589100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4212024030100 is a wasteful number, since it uses less digits than its factorization.

4212024030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85698 (or 85691 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 4212024030100 its reverse (10304202124), we get a palindrome (4222328232224).

The spelling of 4212024030100 in words is "four trillion, two hundred twelve billion, twenty-four million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 67 74 100 134 148 185 199 268 335 370 398 670 740 796 925 995 1340 1675 1850 1990 2479 3350 3700 3980 4958 4975 6700 7363 9916 9950 12395 13333 14726 19900 24790 26666 29452 36815 49580 53332 61975 66665 73630 85381 123950 133330 147260 170762 184075 247900 266660 333325 341524 368150 426905 493321 666650 736300 853810 986642 1333300 1707620 1973284 2134525 2466605 3159097 4269050 4933210 5720527 6318194 8538100 9866420 11441054 12333025 12636388 15795485 16990819 22882108 24666050 28602635 31590970 33981638 49332100 57205270 63181940 67963276 78977425 84954095 114410540 143013175 157954850 169908190 211659499 286026350 315909700 339816380 423318998 424770475 572052700 628660303 846637996 849540950 1058297495 1138384873 1257320606 1699081900 2116594990 2276769746 2514641212 3143301515 4233189980 4553539492 5291487475 5691924365 6286603030 10582974950 11383848730 12573206060 15716507575 21165949900 22767697460 28459621825 31433015150 42120240301 56919243650 62866030300 84240480602 113838487300 168480961204 210601201505 421202403010 842404806020 1053006007525 2106012015050 4212024030100